Geodesic
On solvability of one class high-order nonlinear integro-differential equations with Hammerstein type noncompact integral operator
Ufa mathematical journal, Tome 3 (2011) no. 1, pp. 101-110

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In the present paper we investigate the question of solvability of one class of Hammerstein type $N$-order nonlinear integro-differential equations with noncompact integral operator on semi-axis in the Sobolev space $W_\infty^N(0,+\infty)$. The existence of a positive solution in $W_\infty^N(0,+\infty)$ is proved, and the limit of this solution at infinity is found. The obtained results are generalized for nonlinear equations with sum-difference kernels.
Keywords: factorization, limit of iteration, Sobolev space.
Mots-clés : polynomial 
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Kh. A. Khachatryan. On solvability of one class high-order nonlinear integro-differential equations with Hammerstein type noncompact integral operator. Ufa mathematical journal, Tome 3 (2011) no. 1, pp. 101-110. http://geodesic.mathdoc.fr/item/UFA_2011_3_1_a9/